Paper Citation Record · LEDGER

Weak-strong uniqueness for the Landau equation by a relative entropy method

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2505.21120.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.21120 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:51:25.923496Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:26:31.081078Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T00:26:31.247631Z

Reference resolution

33 of 33 outbound references displayed

verified exact12
verified fuzzy8
unresolved11
parse uncertain0
malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42bda16b-735e-4b3c-88e5-6737b43b2dd7 · outbound

This paper cites A Priori Estimates for Solu- tions to Landau Equation Under Prodi–Serrin Like Criteria.

Weak-strong uniqueness for the Landau equation by a relative entropy method A Priori Estimates for Solu- tions to Landau Equation Under Prodi–Serrin Like Criteria

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:31.318956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4de29b43-376c-4821-a07b-578e1241527c · outbound

This paper cites Interior Schauder Estimates for Parabolic Differential- (or Difference-) Equations via the Maximum Principle.

Weak-strong uniqueness for the Landau equation by a relative entropy method Interior Schauder Estimates for Parabolic Differential- (or Difference-) Equations via the Maximum Principle

Reference 2

Resolution: verified exact; doi, observed 2026-08-07T13:51:28.601105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dee81bf4-789a-4e75-8fc4-4c6f658169dc · outbound

This paper cites Global a Priori Estimates for the Inhomogeneous Landau Equation with Moderately Soft Potentials.

Weak-strong uniqueness for the Landau equation by a relative entropy method Global a Priori Estimates for the Inhomogeneous Landau Equation with Moderately Soft Potentials

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:23.073626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 250e0a6c-df3f-4d0a-944e-e556b5a0950a · outbound

This paper cites Estimates for the large time behavior of the Landau equation in the Coulomb case.

Weak-strong uniqueness for the Landau equation by a relative entropy method Estimates for the large time behavior of the Landau equation in the Coulomb case

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:28.343280Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 390aaf3d-7fee-4e04-ac74-902f2b42f1b2 · outbound

This paper cites Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules.

Weak-strong uniqueness for the Landau equation by a relative entropy method Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:23.232483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f17e8500-63c2-4304-a74f-c04a63272948 · outbound

This paper cites Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions.

Weak-strong uniqueness for the Landau equation by a relative entropy method Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:29.138152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e7bb5e1-a80d-4354-b146-704ceb116293 · outbound

This paper cites The Second Law of Thermodynamics and Stability.

Weak-strong uniqueness for the Landau equation by a relative entropy method The Second Law of Thermodynamics and Stability

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:51:31.126406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation facaad2b-1858-4edb-8354-dfb9150ff2b4 · outbound

This paper cites Entropy dissipation estimates for the Landau equation in the Coulomb case and applications.

Weak-strong uniqueness for the Landau equation by a relative entropy method Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:23.551773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9a53d4a-67b2-41ce-9307-acedcbb02388 · outbound

This paper cites Production of the Fisher information for the Landau-Coulomb equation with L1 initial data.

Weak-strong uniqueness for the Landau equation by a relative entropy method Production of the Fisher information for the Landau-Coulomb equation with L1 initial data

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:23.653660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 149019f3-218a-4cd7-a16d-281615e928ff · outbound

This paper cites Uniqueness of Solutions to Hyperbolic Conservation Laws.

Weak-strong uniqueness for the Landau equation by a relative entropy method Uniqueness of Solutions to Hyperbolic Conservation Laws

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:31.005988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bf952249-369f-480f-8bfb-2086c54bdd3d · outbound

This paper cites Particle approximation of some Landau equations.

Weak-strong uniqueness for the Landau equation by a relative entropy method Particle approximation of some Landau equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:28.047082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation baaef25d-a7c2-489b-b6aa-2a1a260787f3 · outbound

This paper cites Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential.

Weak-strong uniqueness for the Landau equation by a relative entropy method Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:28.889283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa226cab-a2e2-44d5-9f53-800fcda81289 · outbound

This paper cites Propagation of chaos for the Landau equation with moderately soft potentials.

Weak-strong uniqueness for the Landau equation by a relative entropy method Propagation of chaos for the Landau equation with moderately soft potentials

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:24.069390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4c54ff7-18a5-4ce7-a815-e383b54e317d · outbound

This paper cites Trudinger.

Weak-strong uniqueness for the Landau equation by a relative entropy method Trudinger

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:30.848696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c87bab5a-b6f4-4b19-8dc5-d1785f6f6a5e · outbound

This paper cites Local regularity for the space-homogeneous Landau equation with very soft potentials.

Weak-strong uniqueness for the Landau equation by a relative entropy method Local regularity for the space-homogeneous Landau equation with very soft potentials

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:27.766492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bd547fb8-76d3-44d3-a4ed-29dc90301e0b · outbound

This paper cites Well-posedness of the spatially homogeneous Landau equation for soft potentials.

Weak-strong uniqueness for the Landau equation by a relative entropy method Well-posedness of the spatially homogeneous Landau equation for soft potentials

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:27.393715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b13692e7-294b-4f1e-9d39-4543f114c103 · outbound

This paper cites The Landau equation does not blow up.

Weak-strong uniqueness for the Landau equation by a relative entropy method The Landau equation does not blow up

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:24.503197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5b12240-0899-44a8-929f-ebea0b231ec3 · outbound

This paper cites C-Infinity Smoothing for Weak So- lutions of the Inhomogeneous Landau Equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method C-Infinity Smoothing for Weak So- lutions of the Inhomogeneous Landau Equation

Reference 18

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:51:30.659659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b2c2d7b-c5ec-4f01-9f55-fc9581b4a382 · outbound

This paper cites Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data.

Weak-strong uniqueness for the Landau equation by a relative entropy method Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:27.109742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21ec804a-7745-467d-9f4b-054602a48084 · outbound

This paper cites Kinetic Schauder Estimates with Time-Irregular Coefficients and Uniqueness for the Landau Equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method Kinetic Schauder Estimates with Time-Irregular Coefficients and Uniqueness for the Landau Equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:30.421615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7cb4fec-65a3-4726-84a9-e8b42b3b79d8 · outbound

This paper cites The Schauder estimate in kinetic theory with application to a toy nonlinear model.

Weak-strong uniqueness for the Landau equation by a relative entropy method The Schauder estimate in kinetic theory with application to a toy nonlinear model

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:30.184608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bcbd5124-b967-4d05-b74e-7da29968ac0e · outbound

This paper cites Dissipation Estimates of the Fisher Information for the Landau Equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method Dissipation Estimates of the Fisher Information for the Landau Equation

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:29.939347Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fb7da84e-12e0-41a4-bfa8-329af0afcf9f · outbound

This paper cites Entropy dissipation estimates for the Landau equation with Coulomb potentials.

Weak-strong uniqueness for the Landau equation by a relative entropy method Entropy dissipation estimates for the Landau equation with Coulomb potentials

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:51:26.721991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 654ec64a-146a-4f11-9cad-4c0e942ff994 · outbound

This paper cites Lectures on Elliptic and Parabolic Equations in Hölder Spaces.

Weak-strong uniqueness for the Landau equation by a relative entropy method Lectures on Elliptic and Parabolic Equations in Hölder Spaces

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:25.366618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c270070c-1c33-4e88-a0ee-124b42411fcb · outbound

This paper cites Lifšic and Lev P.

Weak-strong uniqueness for the Landau equation by a relative entropy method Lifšic and Lev P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:29.672383Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1973f539-932a-40a2-b7a8-de658a2e6b53 · outbound

This paper cites From a Kac-like Particle System to the Lan- dau Equation for Hard Potentials and Maxwell Molecules.

Weak-strong uniqueness for the Landau equation by a relative entropy method From a Kac-like Particle System to the Lan- dau Equation for Hard Potentials and Maxwell Molecules

Reference 26

Resolution: verified exact; doi, observed 2026-08-07T13:51:26.446599Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b75bdff-53e8-4ade-9691-eeda0d4cf44d · outbound

This paper cites Upper Bounds for Parabolic Equations and the Landau Equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method Upper Bounds for Parabolic Equations and the Landau Equation

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:51:29.385789Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d64ea676-ecb6-4b20-8aa6-b3d4c22757e9 · outbound

This paper cites On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations.

Weak-strong uniqueness for the Landau equation by a relative entropy method On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T13:51:26.188040Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c47a09ed-4fa2-4b32-a88b-9a967b0b8d97 · outbound

This paper cites Weak-strong uniqueness in fluid dynamics.

Weak-strong uniqueness for the Landau equation by a relative entropy method Weak-strong uniqueness in fluid dynamics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:25.923496Z

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Unavailable: canonical work link unavailable.

Observation 824a71fb-1457-4f72-8ac0-fae6bf0485ca · outbound

This paper cites an unresolved cited work.

Weak-strong uniqueness for the Landau equation by a relative entropy method Unresolved cited work

Reference 405

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:25.040057Z

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Unavailable: canonical work link unavailable.

Observation 2de4e454-536f-42bc-95f0-a7531cff2b0d · outbound

This paper cites an unresolved cited work.

Weak-strong uniqueness for the Landau equation by a relative entropy method Unresolved cited work

Reference 1072

Resolution: verified exact; doi, observed 2026-08-07T13:51:26.902310Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5773cb2e-bdad-41c3-bde5-3e4ff1f499dc · outbound

This paper cites Upper bounds for parabolic equations and the Landau equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method Upper bounds for parabolic equations and the Landau equation

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:25.696113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bef6ebf0-87ec-41d6-971a-7079823c6429 · outbound

This paper cites Dissipation estimates of the Fisher information for the Landau equation.

Weak-strong uniqueness for the Landau equation by a relative entropy method Dissipation estimates of the Fisher information for the Landau equation

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T13:51:25.188222Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8eb28958-a9c5-4b63-999e-e35dd765d80f · inbound

Kac's Program for the Landau Equation cites this paper.

Kac's Program for the Landau Equation Weak-strong uniqueness for the Landau equation by a relative entropy method

Reference 79

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:26:31.252985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.